Definition of shine on:
(v) :
(intransitive, informal, usually imperative) To continue to excel.
(v) :
(transitive, informal, US, originally African-American Vernacular) To humor (someone) or be condescending to (someone); to pretend to take (someone) seriously; to tell a tall tale; to pull someone's leg.
(v) :
(transitive, informal, US) To deliberately insult or aggravate (someone).